If \[({{a}^{2}}+{{b}^{2}}+{{c}^{2}})=125\] and \[\left( \mathbf{ab}+\mathbf{b}c+\mathbf{ca} \right)=\mathbf{50}\] find the value of \[\left( \mathbf{a}+\mathbf{b}+\mathbf{c} \right)\]

If \[({{a}^{2}}+{{b}^{2}}+{{c}^{2}})=125\] and \[\left( \mathbf{ab}+\m

1.	If \[({{a}^{2}}+{{b}^{2}}+{{c}^{2}})=125\] and \[\left( \mathbf{ab}+\mathbf{b}c+\mathbf{ca} \right)=\mathbf{50}\] find the value of \[\left( \mathbf{a}+\mathbf{b}+\mathbf{c} \right)\]
A.	10
B.	15
C.	\[\sqrt{15}\]
D.	12
Answer» C. \[\sqrt{15}\]